If your fraction contains a sum of two terms in the denominator, at least one of which is irrational, then you cannot multiply the fraction by it in the numerator and denominator. 42+2{\displaystyle {\frac {4}{2+{\sqrt {2}}}}} To see why this is the case, write an arbitrary fraction 1a+b,{\displaystyle {\frac {1}{a+b}},} where a{\displaystyle a} and b{\displaystyle b} are irrational. Then the expression (a+b)(a+b)=a2+2ab+b2{\displaystyle (a+b)(a+b)=a^{2}+2ab+b^{2}} contains a cross-term 2ab.{\displaystyle 2ab.} If at least one of a{\displaystyle a} and b{\displaystyle b} is irrational, then the cross-term will contain a radical. Let's see how this works with our example. 42+2⋅2+22+2=4(2+2)4+42+2{\displaystyle {\frac {4}{2+{\sqrt {2}}}}\cdot {\frac {2+{\sqrt {2}}}{2+{\sqrt {2}}}}={\frac {4(2+{\sqrt {2}})}{4+4{\sqrt {2}}+2}}}  As you can see, there's no way we can get rid of the 42{\displaystyle 4{\sqrt {2}}} in the denominator after doing this. The conjugate of an expression is the same expression with the sign reversed. For example, the conjugate of 2+2{\displaystyle 2+{\sqrt {2}}} is 2−2.{\displaystyle 2-{\sqrt {2}}.}  42+2⋅2−22−2{\displaystyle {\frac {4}{2+{\sqrt {2}}}}\cdot {\frac {2-{\sqrt {2}}}{2-{\sqrt {2}}}}} Why does the conjugate work? Going back to our arbitrary fraction 1a+b,{\displaystyle {\frac {1}{a+b}},} multiplying by the conjugate in the numerator and denominator results in the denominator being (a+b)(a−b)=a2−b2.{\displaystyle (a+b)(a-b)=a^{2}-b^{2}.} The key here is that there are no cross-terms. Since both of these terms are being squared, any square roots will be eliminated. 42+2⋅2−22−2=4(2−2)4−2=4−22{\displaystyle {\frac {4}{2+{\sqrt {2}}}}\cdot {\frac {2-{\sqrt {2}}}{2-{\sqrt {2}}}}={\frac {4(2-{\sqrt {2}})}{4-2}}=4-2{\sqrt {2}}}
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One-sentence summary -- Examine the fraction. Multiply the fraction by the conjugate of the denominator. Simplify as needed.


The entire terminal is going to get very hot, and you can't attach it and crimp it down ahead of time like the terminal lugs. Clamp it down so it won't move as you insert the hot cable and solder. The "ingredients" needed to attach the terminals are the exact same as those used for the lugs, though the process is a bit different. Use a cotton swab to coat all parts of the terminal and wire that will connect. If you bought pre-soldered and pre-rosined terminals, you should skip this step. Make sure you do this in a well-ventilated area. You want big, quick bubbles forming to know you have it boiling. If both the cable and the terminal are hot, the connection is going to be much faster and more secure. Just like the terminal lug, solder the edge of the terminal to the expose wire beneath it. Even if you have pre-soldered connections, this isn't a terrible idea for added security. If some of the strands of wire came loose when inserting the cable into the terminal, strip them off before moving on. These sheathings will greatly increase the usable life of your battery cables.
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One-sentence summary -- Clamp the terminals in a vice, open side up. Liberally swab the inside of the terminal and the outside of the cable with rosin flux. Using your torch, heat the terminal so that the rosin flux is boiling. Preheat the end of the cable for 12-15 seconds, then push it into the terminal. Solder the connection between terminal and wire. Use some wire cutters to clean up any exposed strands of wiring. Slide the sheathing to cover exposed metal, then heat it to shrink it on.


Do this either by clicking the Windows icon in the bottom-left corner of the screen, or by pressing the ⊞ Win key on your computer's keyboard. This button is near the bottom-left corner of the Start window. It's near the middle of the page. This tab is on the left side of the page. Doing so will turn on your computer's Bluetooth feature. To do so, you must first locate the On/Off switch. Its location will vary depending on the keyboard, so look on the bottom, back, and sides of the keyboard.  If your keyboard uses batteries, you'll also need to make sure it has a fresh set before continuing. Many Bluetooth keyboards use built-in, rechargeable batteries instead of AAs or AAAs, so if your keyboard came with a charger, consider charging it for awhile before turning it on. After a few seconds, it should appear beneath the "Mouse, keyboard, & pen" heading on this page.  Your keyboard may have a pairing button that you must first press before it will show up in the Bluetooth menu. If the keyboard doesn't show up on this page, turn your computer's Bluetooth off and then on again. You'll see Pair below the keyboard's name. This will add your keyboard to your computer's list of paired items; you should now be able to use it like a regular keyboard.
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One-sentence summary -- Open the Start menu. Click ⚙️. Click Devices. Click Bluetooth & other devices. Click the switch beneath the "Bluetooth" heading. Turn on your keyboard. Look for the keyboard's name. Click the keyboard's name, then click Pair.


Even if your site is text-heavy, it should be visually appealing to keep people from making snap judgments about the quality. If you don’t have much design sense, have an artistic friend give it the once over, ask an older relative whether or not they find the site easy to navigate, or even consider hiring a designer to work on the overall composition. Streamline every page so that people don’t get disoriented or frustrated. Avoid using elaborate fonts, numerous colors, or unnecessary graphics that slow down the page-load time (or make people think they’re looking at an over-enthusiastic PowerPoint presentation). Use the same banner at the top (and bottom, if applicable) of every page so that people can navigate your site with ease. Tie all your pages together with a color scheme so that people don’t think they’ve been mysteriously transported somewhere else with every click. Be consistent in your font usage by sticking with no more than three fonts, making section all headers the same size, all subsection headers a different size, etc. If you’re afraid that leaving white space will drive visitors away, just look at any Google page. White space helps a page look clean and uncluttered, to say nothing of the fact that it makes navigation much easier. Nobody wants to battle a wall of text.
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One-sentence summary --
Make the site easy on the eyes. Keep it simple. Keep a consistent theme. Embrace white space. Use short paragraphs.